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13667925666681 = 3211313148159263
BaseRepresentation
bin1100011011100100111111…
…0110101010101101111001
31210101122022020110222021100
43012321033312222231321
53242413402432313211
645022543001402013
72610321640162146
oct306711766525571
953348266428240
1013667925666681
11439a597798000
121648b28799309
13781b5908abb0
143537615d73cd
1518a80296d156
hexc6e4fdaab79

13667925666681 has 96 divisors (see below), whose sum is σ = 23401927471104. Its totient is φ = 7641100051200.

The previous prime is 13667925666677. The next prime is 13667925666721. The reversal of 13667925666681 is 18666652976631.

It is not a de Polignac number, because 13667925666681 - 22 = 13667925666677 is a prime.

It is a super-2 number, since 2×136679256666812 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13667925667681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230602056 + ... + 230661318.

It is an arithmetic number, because the mean of its divisors is an integer number (243770077824).

Almost surely, 213667925666681 is an apocalyptic number.

13667925666681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13667925666681 is a deficient number, since it is larger than the sum of its proper divisors (9734001804423).

13667925666681 is a wasteful number, since it uses less digits than its factorization.

13667925666681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60796 (or 60771 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 13667925666681 in words is "thirteen trillion, six hundred sixty-seven billion, nine hundred twenty-five million, six hundred sixty-six thousand, six hundred eighty-one".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 363 429 1089 1287 1331 1481 1573 3993 4443 4719 11979 13329 14157 16291 17303 19253 48873 51909 57759 59263 146619 155727 173277 177789 179201 211783 533367 537603 635349 651893 770419 1612809 1906047 1955679 1971211 2311257 2329613 5867037 5913633 6933771 6988839 7170823 8474609 17740899 20966517 21512469 25423827 25625743 64537407 76271481 76877229 78879053 87768503 93220699 230631687 236637159 263305509 279662097 709911477 789916527 838986291 965453533 1025427689 1140990539 2896360599 3076283067 3422971617 8689081797 9228849201 10268914851 10619988863 12550895929 31859966589 37652687787 95579899767 112958063361 116819877493 138059855219 350459632479 414179565657 1051378897437 1242538696971 1518658407409 4555975222227 13667925666681